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2214402230040 = 233571113374311587
BaseRepresentation
bin100000001110010100101…
…010001000011100011000
321211200202111110121220220
4200032110222020130120
5242240043432330130
64413140552520040
7315661644250650
oct40162452103430
97750674417826
102214402230040
11784139369640
122b91ba9b0020
13130a81604a50
147926b62d360
153c905a39410
hex20394a88718

2214402230040 has 1024 divisors, whose sum is σ = 9374465802240. Its totient is φ = 403615457280.

The previous prime is 2214402230039. The next prime is 2214402230099. The reversal of 2214402230040 is 400322044122.

It is a super-2 number, since 2×22144022300402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 191105127 + ... + 191116713.

It is an arithmetic number, because the mean of its divisors is an integer number (9154751760).

Almost surely, 22214402230040 is an apocalyptic number.

2214402230040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214402230040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687232901120).

2214402230040 is an abundant number, since it is smaller than the sum of its proper divisors (7160063572200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2214402230040 is a wasteful number, since it uses less digits than its factorization.

2214402230040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11712 (or 11708 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2214402230040 its reverse (400322044122), we get a palindrome (2614724274162).

It can be divided in two parts, 2214402 and 230040, that added together give a palindrome (2444442).

The spelling of 2214402230040 in words is "two trillion, two hundred fourteen billion, four hundred two million, two hundred thirty thousand, forty".